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Finding the Fourth Proportional to 9,907.03, 13,671.68 and 5,430.78

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Solution

The fourth proportional to 9,907.03, 13,671.68 and 5,430.78 is: 7,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.03 : 13,671.68 = 5,430.78 : x
  2. Step 2: Convert to fraction form
    9,907.03/13,671.68 = 5,430.78/x
  3. Step 3: Cross multiply
    9,907.03x = 13,671.68 × 5,430.78
  4. Step 4: Simplify right side
    9,907.03x = 74,247,859.16
  5. Step 5: Solve for x
    x = 74,247,859.16/9,907.03
  6. Step 6: Final answer
    x = 7,494.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.